Question

The point X (-3, 6) is a reflection of the point X’ (3, -6). What are they reflected through?

Answer 1

@mathmate

Answer 2

Looks like a reflection across the line y=x.

Answer 3

thank you!!
Do you know this one ?
What is T(-6,5)(-1,-2)
@SithsAndGiggles

Answer 4

Is \(T\) some sort of transformation?

Answer 5

I have no idea that is the whole question

Answer 6

What's the context? Do you have any reference to what T could possibly mean?

Answer 7

its a assignment that called translations and reflections

Answer 8

it says nothing about the question though

Answer 9

it ok ill ask my teacher. this is the last

Answer 10

what are 3 ways to denote a translation

Answer 11

T for translation, with x, y representing the translations in x (right) and y (up) directions.
When you have composite translations, add up the x values, for example,
T(1,2)T(2,4)=T(1+2,2+4)=T(3,6).

Answer 12

I could think of two:
t:(x,y)->(x+h,y+k)
T(h,k)
and the third one could be a matrix or vector, such as
<h,k>, so that
<x,y>+<h,k>=<x+h,y+k>.
Check with your teacher. Sometimes notations vary from one teacher to another.

Answer 13

(x,y)->(-x,-y) is a reflection through the origin, as we had in an earlier problem, equivalent to rotation of 180 degrees. So what is (-3,6)->(3,-6) ?

Answer 14

thank you!
im not sure what (-3,6)->(3,-6) is can you help me? @mathmate

Answer 15

(-3,6)->(3,-6)
belongs to the transformation
(x,y)->(-x,-y) [check for yourself]
which in turn is a reflection through the origin, equivalent to a rotation of 180 degrees.